N=4 Supersymmetric Quantum Mechanics with Magnetic Monopole

Details N=4 Supersymmetric Quantum Mechanics with Magnetic Monopole N=4 Supersymmetric Quantum Mechanics with Magnetic Monopole

2005-07-20

arxiv.org/abs/hep-th/0507194v1

Phys.Lett. B628 (2005) 165-170

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1016/j.physletb.2005.09.024

We propose an N=4 supersymmetric quantum mechanics of a charged particle on a sphere in the background of Dirac magnetic monopole and study the system using the CP(1) model approach. We explicitly calculate the symmetry algebra taking the operator ordering ambiguity into consideration. We find that it is given by the superalgebra SU(1|2)x SU(2). We show that the Hamiltonian can be written in terms of the Casimir invariant of SU(2). Using this relation and the lower bound for angular momentm we obtain the energy spectrum. We then examine the ground energy sector to find that the N=4 supersymmetry is spontaneously broken to N=2 for certain values of the monopole charge.

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